<img src="https://tex.z-dn.net/?f=Simplify.....%20%5C%5C%20%5C%5C%20%5Cfrac%7B6x%20%5E%7B4%7D%20%7By%7D%5E%7B2%7D%20%5Ctimes%204

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2 years ago

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%20%7Bx%7D%5E%7B6%7D%20%7By%7D%5E%7B3%7D%20%7D%7B12%20%7Bx%7D%5E%7B5%7D%20%7By%7D%5E%7B4%7D%20%7D%20" id="TexFormula1" title="Simplify..... \\ \\ \frac{6x ^{4} {y}^{2} \times 4 {x}^{6} {y}^{3} }{12 {x}^{5} {y}^{4} } " alt="Simplify..... \\ \\ \frac{6x ^{4} {y}^{2} \times 4 {x}^{6} {y}^{3} }{12 {x}^{5} {y}^{4} } " align="absmiddle" class="latex-formula">
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1 answer:

podryga [215]2 years ago

5 0

Hope it helps.

Don't forget to click the Brainliest button if you like my answer and if you have any query, please feel free to ask in the comment section.

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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

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Answer:

108,864

Step-by-step explanation:

The difference between each value is x6, so you times the number by 6 to get the next number of the sequence :)

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2 years ago

Solve the following differential equation: y" + y' = 8x^2

PtichkaEL [24]

Answer:

$y=y_p+y_h = \frac{8}{3}x^3-8x^2+16x+ C_1 + C_2e^{-x}$

Step-by-step explanation:

Let's find a particular solution. We need a function of the form $y= ax^3+bx^2+cx+d$ such that

$y'= 3ax^2+2bx+c$ and

$y''= 6ax+2b$

$y'+y''= 3ax^2+2bx+c+6ax+2b = 3ax^2+x(2b+6a)+(c+2b) = 8x^2$

then, 3a= 8, 2b+6a =0 and c+2b = 0. With the first equation we obtain

a = 8/3 and replacing in the second equation 2b+6(8/3) = 2b + 16 = 0. Then, b = -8. Finally, c = -2(-8) = 16.

So, our particular solution is $y_p= \frac{8}{3}x^3-8x^2+16x$ .

Now, let's find the solution $y_p$ of the homogeneus equation $y''+y'=0$ with the method of constants coefficients. Let $y=e^{\lambda x}$

$y'=\lambda e^{\lambda x}$

$y''=\lambda^2e^{\lambda x}$

then $\lambda e^{\lambda x}+\lambda^2 e^{\lambda x} = 0$

$e^{\lambda x}(\lambda +\lambda^2)= 0$

$(\lambda +\lambda^2)= 0$

$\lambda (1+\lambda)= 0$

$\lambda =0$ and $\lambda)= -1$ .

So, $y_h = C_1 + C_2e^{-x}$ and the solution is

$y=y_p+y_h =\frac{8}{3}x^3-8x^2+16x+ C_1 + C_2e^{-x}$ .

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2 years ago

Ms Feheley buys 9 bottles of eye of Newt for the same price, and also a new couldron for $9.45. She spent $118.89. How much did

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See picture for answer and solution steps.

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3 years ago

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Write an expression for "m decreased by 2.”

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Answer:

m-2

Step-by-step explanation:

m is being subrtacted by 2

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2 years ago

What is 4e+21= what

love history [14]

<em>The result can be shown in both exact and decimal forms. </em>

<em>Exact Form: </em>

<em>4 e + 21 </em>

<em>Decimal Form: </em>

<em>31.87312731 …</em>

Thanks,

<em>Deku ❤</em>

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3 years ago